Game-environment feedback, or in general coevolutionary game theory, has generated increasing interest in the control community, where the design of adequate control policies play a crucial role in achieving a specific system behaviour [1]}, [2]}. An example of the use of game-environment feedback in control is the work by Paarporn et al. where the controlled system exhibits oscillatory behaviours due to deprecation of the environmental resource [3]}. Examples from such a wide range of research areas show that an understanding of the dynamics in the presence of game-environment feedback is a crucial aspect for a deeper awareness of complex real-life systems.
